Functions

Angle and Trigonometry Functions

GLM Core

Function parameters specified as angle are assumed to be in units of radians. More...

Functions

template<typename genType >
genType acos (genType const &x)
template<typename genType >
genType acosh (genType const &x)
template<typename genType >
genType asin (genType const &x)
template<typename genType >
genType asinh (genType const &x)
template<typename genType >
genType atan (genType const &y, genType const &x)
template<typename genType >
genType atan (genType const &y_over_x)
template<typename genType >
genType atanh (genType const &x)
template<typename genType >
genType cos (genType const &angle)
template<typename genType >
genType cosh (genType const &angle)
template<typename genType >
genType degrees (genType const &radians)
template<typename genType >
genType radians (genType const &degrees)
template<typename genType >
genType sin (genType const &angle)
template<typename genType >
genType sinh (genType const &angle)
template<typename genType >
genType tan (genType const &angle)
template<typename genType >
genType tanh (genType const &angle)

Detailed Description

Function parameters specified as angle are assumed to be in units of radians.

In no case will any of these functions result in a divide by zero error. If the divisor of a ratio is 0, then results will be undefined.

These all operate component-wise. The description is per component.


Function Documentation

genType glm::acos ( genType const &  x)

Arc cosine.

Returns an angle whose sine is x. The range of values returned by this function is [0, PI]. Results are undefined if |x| > 1.

Template Parameters:
genTypeFloating-point scalar or vector types.
See also:
- GLSL acos man page
- GLSL 4.20.8 specification, section 8.1
genType glm::acosh ( genType const &  x)

Arc hyperbolic cosine; returns the non-negative inverse of cosh.

Results are undefined if x < 1.

Template Parameters:
genTypeFloating-point scalar or vector types.
See also:
- GLSL acosh man page
- GLSL 4.20.8 specification, section 8.1
genType glm::asin ( genType const &  x)

Arc sine.

Returns an angle whose sine is x. The range of values returned by this function is [-PI/2, PI/2]. Results are undefined if |x| > 1.

Template Parameters:
genTypeFloating-point scalar or vector types.
See also:
- GLSL asin man page
- GLSL 4.20.8 specification, section 8.1
genType glm::asinh ( genType const &  x)

Arc hyperbolic sine; returns the inverse of sinh.

Template Parameters:
genTypeFloating-point scalar or vector types.
See also:
- GLSL asinh man page
- GLSL 4.20.8 specification, section 8.1
genType glm::atan ( genType const &  y,
genType const &  x 
)

Arc tangent.

Returns an angle whose tangent is y/x. The signs of x and y are used to determine what quadrant the angle is in. The range of values returned by this function is [-PI, PI]. Results are undefined if x and y are both 0.

Template Parameters:
genTypeFloating-point scalar or vector types.
See also:
- GLSL atan man page
- GLSL 4.20.8 specification, section 8.1

Referenced by glm::atan2().

genType glm::atan ( genType const &  y_over_x)

Arc tangent.

Returns an angle whose tangent is y_over_x. The range of values returned by this function is [-PI/2, PI/2].

Template Parameters:
genTypeFloating-point scalar or vector types.
See also:
- GLSL atan man page
- GLSL 4.20.8 specification, section 8.1
genType glm::atanh ( genType const &  x)

Arc hyperbolic tangent; returns the inverse of tanh.

Results are undefined if abs(x) >= 1.

Template Parameters:
genTypeFloating-point scalar or vector types.
See also:
- GLSL atanh man page
- GLSL 4.20.8 specification, section 8.1
genType glm::cos ( genType const &  angle)

The standard trigonometric cosine function.

The values returned by this function will range from [-1, 1].

Template Parameters:
genTypeFloating-point scalar or vector types.
See also:
- GLSL cos man page
- GLSL 4.20.8 specification, section 8.1
genType glm::cosh ( genType const &  angle)

Returns the hyperbolic cosine function, (exp(x) + exp(-x)) / 2.

Template Parameters:
genTypeFloating-point scalar or vector types.
See also:
- GLSL cosh man page
- GLSL 4.20.8 specification, section 8.1
genType glm::degrees ( genType const &  radians)

Converts radians to degrees and returns the result.

Template Parameters:
genTypeFloating-point scalar or vector types.
See also:
- GLSL degrees man page
- GLSL 4.20.8 specification, section 8.1
genType glm::radians ( genType const &  degrees)

Converts degrees to radians and returns the result.

Template Parameters:
genTypeFloating-point scalar or vector types.
See also:
- GLSL radians man page
- GLSL 4.20.8 specification, section 8.1
genType glm::sin ( genType const &  angle)

The standard trigonometric sine function.

The values returned by this function will range from [-1, 1].

Template Parameters:
genTypeFloating-point scalar or vector types.
See also:
- GLSL sin man page
- GLSL 4.20.8 specification, section 8.1
genType glm::sinh ( genType const &  angle)

Returns the hyperbolic sine function, (exp(x) - exp(-x)) / 2.

Template Parameters:
genTypeFloating-point scalar or vector types.
See also:
- GLSL sinh man page
- GLSL 4.20.8 specification, section 8.1
genType glm::tan ( genType const &  angle)

The standard trigonometric tangent function.

Template Parameters:
genTypeFloating-point scalar or vector types.
See also:
- GLSL tan man page
- GLSL 4.20.8 specification, section 8.1
genType glm::tanh ( genType const &  angle)

Returns the hyperbolic tangent function, sinh(angle) / cosh(angle)

Template Parameters:
genTypeFloating-point scalar or vector types.
See also:
- GLSL tanh man page
- GLSL 4.20.8 specification, section 8.1